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Mechanical Engineering Home > Research: Faculty: Kanapady

Discontinuous Galerkin Methods

The discontinuous Galerkin (DG) methods have received widespread interest in many computational fluid dynamic applications because of their inherent robustness and many other computational advantages. These advantages over the traditional counterparts are that they (i) can preserve local conservation, (ii) can provide arbitrary high-order of accuracy, (iii) are highly parallelizable since elements are discontinuous and the mass matrix is block diagonal, (iv) are easily amenable to hp-adaptivity since elements need not be conforming, and (v) allow non-congruent finite element discretization, and meshes with dissimilar adjoint element types. These features also drawing attention to and gaining a lot of interest in solving structural and solid mechanics problems.

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Recent advances in Computational Structural Mechanics

Publications & Presentations

    Recent Developments in Local Discontinuous Galerkin Methods for Linear Elasticity, Seventh U.S. National Congress on Computational Mechanics, July 27--31, 2003. (with B. Cockburn and H. Stolarski)

    A Local Discontinuous Galerkin Formulation for the Class of Elastic Wave Propagation Problems, Invited talk, 7th U.S. National Congress on Computational Mechanics, July 27--31, 2003. (with B. cockburn and S. Srinivasan)

    Local Discontinuous Galerkin Formulations for Beam Problems, 7th U.S. National Congress on Computational Mechanics, July 27--31, 2003. (with H. Stolarski and B. Cockburn).
 
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 Last modified on May 2, 2005